{"id":"openai-math/Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian","pdf":"https://github.com/openai/math/blob/main/preprints/Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian-October-5-2026/positive-eigenvalues-relative-su2-bfss.pdf","url":"https://github.com/openai/math/tree/main/preprints/Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian-October-5-2026","tags":["mathematical-physics","matrix-models","spectral-theory"],"score":0,"title":"Positive eigenvalues of the relative SU(2) BFSS Hamiltonian","domain":"Mathematical physics","family":"270","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.MP","summary":"We prove that the relative $`\\mathop{\\mathrm{SU}}\\nolimits (2)`$ BFSS Hamiltonian has infinitely many positive eigenvalues tending to infinity, with square-integrable eigenvectors. The operator is defined by closing the gauge-invariant supercharge form. This refutes, at N = 2, the exclusion of normalizable positive-energy states stated in the original BFSS paper.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":1,"published":"2026-10-05","reactions":{},"discussion":[{"url":"https://online.kitp.ucsb.edu/online/physicsai-m26/ooguri/#:~:text=Positive%20eigenvalues%20of%20the%20relative%20SU%282%29%20BFSS%20Hamiltonian","kind":"web","site":"online.kitp.ucsb.edu","text":"Positive eigenvalues of the relative SU(2) BFSS Hamiltonian Schedule Oct 20, 2026 Positive eigenvalues of the relative SU(2) BFSS Hamiltonian Hirosi Ooguri (Caltech) To download: Right-click and choose \"Save Link As...\"","added":"2026-11-04","title":"Hirosi Ooguri (Caltech), Positive eigenvalues of the relative SU(2) BFSS Hamiltonian","author":"Hirosi Ooguri (Caltech)"}],"formalized":false,"family_title":"Threshold and positive-energy bound states of the BFSS matrix model"}